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Extensive gamma test program

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Antonin Portelli 2017-01-24 17:35:29 -08:00
parent f7db342f49
commit 068b28af2d
1 changed files with 209 additions and 196 deletions
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361
tests/core/Test_gamma.cc
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@ -4,10 +4,11 @@
Source file: ./tests/Test_gamma.cc Source file: ./tests/Test_gamma.cc
Copyright (C) 2015 Copyright (C) 2015-2017
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk> Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk> Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Antonin Portelli <antonin.portelli@ed.ac.uk>
This program is free software; you can redistribute it and/or modify This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by it under the terms of the GNU General Public License as published by
@ -30,14 +31,175 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
using namespace std; using namespace std;
using namespace Grid; using namespace Grid;
using namespace Grid::QCD; using namespace QCD;
//template<class vobj> class is_pod< iScalar<vobj> > static constexpr double tolerance = 1.0e-6;
//{ static std::array<SpinMatrix, Gamma::nGamma> testAlgebra;
//
//};
int main (int argc, char ** argv) void print(const SpinMatrix &g)
{
for(int i = 0; i < Ns; i++)
{
std::cout << GridLogMessage << "(";
for(int j=0;j<Ns;j++){
if ( abs(g()(i,j)()) == 0 ) {
std::cout<< " 0";
} else if ( abs(g()(i,j)() - Complex(0,1)) == 0){
std::cout<< " i";
} else if ( abs(g()(i,j)() + Complex(0,1)) == 0){
std::cout<< "-i";
} else if ( abs(g()(i,j)() - Complex(1,0)) == 0){
std::cout<< " 1";
} else if ( abs(g()(i,j)() + Complex(1,0)) == 0){
std::cout<< "-1";
}
std::cout<<((j == Ns-1) ? ")" : "," );
}
std::cout << std::endl;
}
std::cout << GridLogMessage << std::endl;
}
void createTestAlgebra(void)
{
std::array<SpinMatrix, 4> testg;
SpinMatrix testg5;
const Complex I(0., 1.), mI(0., -1.);
testg[0] = zero;
testg[0]()(0, 3) = I;
testg[0]()(1, 2) = I;
testg[0]()(2, 1) = mI;
testg[0]()(3, 0) = mI;
std::cout << GridLogMessage << "test GammaX= " << std::endl;
print(testg[0]);
testg[1] = zero;
testg[1]()(0, 3) = -1.;
testg[1]()(1, 2) = 1.;
testg[1]()(2, 1) = 1.;
testg[1]()(3, 0) = -1.;
std::cout << GridLogMessage << "test GammaY= " << std::endl;
print(testg[1]);
testg[2] = zero;
testg[2]()(0, 2) = I;
testg[2]()(1, 3) = mI;
testg[2]()(2, 0) = mI;
testg[2]()(3, 1) = I;
std::cout << GridLogMessage << "test GammaZ= " << std::endl;
print(testg[2]);
testg[3] = zero;
testg[3]()(0, 2) = 1.;
testg[3]()(1, 3) = 1.;
testg[3]()(2, 0) = 1.;
testg[3]()(3, 1) = 1.;
std::cout << GridLogMessage << "test GammaT= " << std::endl;
print(testg[3]);
testg5 = testg[0]*testg[1]*testg[2]*testg[3];
#define DEFINE_TEST_G(g, exp)\
testAlgebra[Gamma::Algebra::g] = exp;\
testAlgebra[Gamma::Algebra::Minus##g] = -exp;\
DEFINE_TEST_G(Identity , 1.);
DEFINE_TEST_G(Gamma5 , testg5);
DEFINE_TEST_G(GammaX , testg[0]);
DEFINE_TEST_G(GammaY , testg[1]);
DEFINE_TEST_G(GammaZ , testg[2]);
DEFINE_TEST_G(GammaT , testg[3]);
DEFINE_TEST_G(GammaXGamma5, testg[0]*testg5);
DEFINE_TEST_G(GammaYGamma5, testg[1]*testg5);
DEFINE_TEST_G(GammaZGamma5, testg[2]*testg5);
DEFINE_TEST_G(GammaTGamma5, testg[3]*testg5);
DEFINE_TEST_G(SigmaXY , .5*(testg[0]*testg[1] - testg[1]*testg[0]));
DEFINE_TEST_G(SigmaXZ , .5*(testg[0]*testg[2] - testg[2]*testg[0]));
DEFINE_TEST_G(SigmaXT , .5*(testg[0]*testg[3] - testg[3]*testg[0]));
DEFINE_TEST_G(SigmaYZ , .5*(testg[1]*testg[2] - testg[2]*testg[1]));
DEFINE_TEST_G(SigmaYT , .5*(testg[1]*testg[3] - testg[3]*testg[1]));
DEFINE_TEST_G(SigmaZT , .5*(testg[2]*testg[3] - testg[3]*testg[2]));
#undef DEFINE_TEST_G
}
template <typename Expr>
void test(const Expr &a, const Expr &b)
{
if (norm2(a - b) < tolerance)
{
std::cout << "[OK] ";
}
else
{
std::cout << "[fail]" << std::endl;
std::cout << GridLogError << "a= " << a << std::endl;
std::cout << GridLogError << "is different (tolerance= " << tolerance << ") from " << std::endl;
std::cout << GridLogError << "b= " << b << std::endl;
exit(EXIT_FAILURE);
}
}
void checkMat(const Gamma::Algebra a, GridSerialRNG &rng)
{
SpinVector v;
SpinMatrix m, &testg = testAlgebra[a];
Gamma g(a);
bool pass = true;
random(rng, v);
random(rng, m);
std::cout << GridLogMessage << "Checking " << Gamma::name[a] << ": ";
std::cout << "vecmul ";
test(g*v, testg*v);
std::cout << "matlmul ";
test(g*m, testg*m);
std::cout << "matrmul ";
test(m*g, m*testg);
std::cout << std::endl;
}
void checkProd(const Gamma::Algebra a, const Gamma::Algebra b)
{
SpinMatrix gm, testg = testAlgebra[a]*testAlgebra[b];
Gamma ga(a), gb(b), g = ga*gb;
bool pass = true;
std::cout << GridLogMessage << "Checking " << Gamma::name[a] << " * "
<< Gamma::name[b] << ": ";
gm = 1.0;
gm = g*gm;
test(gm, testg);
std::cout << "(= " << Gamma::name[g.g] << ")" << std::endl;
}
void checkProject(GridSerialRNG &rng)
{
SpinVector rv, recon, full;
HalfSpinVector hsp, hsm;
random(rng, rv);
#define CHECK_PROJ(dir, gamma)\
std::cout << GridLogMessage << "Checking " << #dir << " projector: ";\
spProj##dir(hsm,rv);\
spRecon##dir(recon,hsm);\
test(recon, rv + Gamma(Gamma::Algebra::gamma)*rv);\
std::cout << std::endl;
CHECK_PROJ(Xp, GammaX);
CHECK_PROJ(Yp, GammaY);
CHECK_PROJ(Zp, GammaZ);
CHECK_PROJ(Tp, GammaT);
CHECK_PROJ(5p, Gamma5);
CHECK_PROJ(Xm, MinusGammaX);
CHECK_PROJ(Ym, MinusGammaY);
CHECK_PROJ(Zm, MinusGammaZ);
CHECK_PROJ(Tm, MinusGammaT);
CHECK_PROJ(5m, MinusGamma5);
#undef CHECK_PROJ
}
int main(int argc, char *argv[])
{ {
Grid_init(&argc,&argv); Grid_init(&argc,&argv);
@ -46,178 +208,29 @@ int main (int argc, char ** argv)
std::vector<int> mpi_layout = GridDefaultMpi(); std::vector<int> mpi_layout = GridDefaultMpi();
GridCartesian Grid(latt_size,simd_layout,mpi_layout); GridCartesian Grid(latt_size,simd_layout,mpi_layout);
GridParallelRNG pRNG(&Grid);
pRNG.SeedRandomDevice();
GridSerialRNG sRNG; GridSerialRNG sRNG;
sRNG.SeedRandomDevice(); sRNG.SeedRandomDevice();
SpinMatrix ident; ident=zero; std::cout << GridLogMessage << "======== Test algebra" << std::endl;
SpinMatrix rnd ; random(sRNG,rnd); createTestAlgebra();
std::cout << GridLogMessage << "======== Multiplication operators check" << std::endl;
SpinMatrix ll; ll=zero; for (int i = 0; i < Gamma::nGamma; ++i)
SpinMatrix rr; rr=zero; {
SpinMatrix result; checkMat(i, sRNG);
SpinVector lv; random(sRNG,lv);
SpinVector rv; random(sRNG,rv);
// std::cout<<GridLogMessage << " Is pod " << std::is_pod<SpinVector>::value << std::endl;
// std::cout<<GridLogMessage << " Is pod double " << std::is_pod<double>::value << std::endl;
// std::cout<<GridLogMessage << " Is pod ComplexF " << std::is_pod<ComplexF>::value << std::endl;
// std::cout<<GridLogMessage << " Is triv double " << std::has_trivial_default_constructor<double>::value << std::endl;
// std::cout<<GridLogMessage << " Is triv ComplexF " << std::has_trivial_default_constructor<ComplexF>::value << std::endl;
// std::cout<<GridLogMessage << " Is pod Scalar<double> " << std::is_pod<iScalar<double> >::value << std::endl;
// std::cout<<GridLogMessage << " Is pod Scalar<ComplexF> " << std::is_pod<iScalar<ComplexF> >::value << std::endl;
// std::cout<<GridLogMessage << " Is pod Scalar<vComplexF> " << std::is_pod<iScalar<vComplexF> >::value << std::endl;
// std::cout<<GridLogMessage << " Is pod Scalar<vComplexD> " << std::is_pod<iScalar<vComplexD> >::value << std::endl;
// std::cout<<GridLogMessage << " Is pod Scalar<vRealF> " << std::is_pod<iScalar<vRealF> >::value << std::endl;
// std::cout<<GridLogMessage << " Is pod Scalar<vRealD> " << std::is_pod<iScalar<vRealD> >::value << std::endl;
// std::cout<<GridLogMessage << " Is triv Scalar<double> " <<std::has_trivial_default_constructor<iScalar<double> >::value << std::endl;
// std::cout<<GridLogMessage << " Is triv Scalar<vComplexD> "<<std::has_trivial_default_constructor<iScalar<vComplexD> >::value << std::endl;
for(int a=0;a<Ns;a++){
ident()(a,a) = ComplexF(1.0);
} }
std::cout << GridLogMessage << std::endl;
const Gamma::Algebra *g = Gamma::GammaMatrices; std::cout << GridLogMessage << "======== Algebra multiplication table check" << std::endl;
const char **list = Gamma::GammaMatrixNames; for (int i = 0; i < Gamma::nGamma; ++i)
for (int j = 0; j < Gamma::nGamma; ++j)
result =ll*Gamma(g[0])*rr; {
result =ll*Gamma(g[0]); checkProd(i, j);
rv = Gamma(g[0])*lv;
for(int mu=0;mu<12;mu++){
result = Gamma(g[mu])* ident;
for(int i=0;i<Ns;i++){
if(i==0) std::cout<<GridLogMessage << list[mu];
else std::cout<<GridLogMessage << list[12];
std::cout<<"(";
for(int j=0;j<Ns;j++){
if ( abs(result()(i,j)())==0 ) {
std::cout<< " 0";
} else if ( abs(result()(i,j)() - Complex(0,1))==0){
std::cout<< " i";
} else if ( abs(result()(i,j)() + Complex(0,1))==0){
std::cout<< "-i";
} else if ( abs(result()(i,j)() - Complex(1,0))==0){
std::cout<< " 1";
} else if ( abs(result()(i,j)() + Complex(1,0))==0){
std::cout<< "-1";
} }
std::cout<<((j==Ns-1) ? ")" : "," ); std::cout << GridLogMessage << std::endl;
} std::cout << GridLogMessage << "======== Spin projectors check" << std::endl;
std::cout << std::endl; checkProject(sRNG);
}
std::cout << std::endl;
}
std::cout << "Testing Gamma^2 - 1 = 0"<<std::endl;
for(int mu=0;mu<6;mu++){
result = Gamma(g[mu])* ident * Gamma(g[mu]);
result = result - ident;
RealD mag = norm2(result);
std::cout << list[mu]<<" " << mag<<std::endl;
}
std::cout << "Testing (MinusGamma + G )M = 0"<<std::endl;
for(int mu=0;mu<6;mu++){
result = rnd * Gamma(g[mu]);
result = result + rnd * Gamma(g[mu+6]);
RealD mag = norm2(result);
std::cout << list[mu]<<" " << mag<<std::endl;
}
std::cout << "Testing M(MinusGamma + G ) = 0"<<std::endl;
for(int mu=0;mu<6;mu++){
result = Gamma(g[mu]) *rnd;
result = result + Gamma(g[mu+6])*rnd;
RealD mag = norm2(result);
std::cout << list[mu]<<" " << mag<<std::endl;
}
// Testing spins and reconstructs
SpinVector recon; random(sRNG,rv);
SpinVector full;
HalfSpinVector hsp,hsm;
// Xp
double mag;
spProjXp(hsm,rv);
spReconXp(recon,hsm);
full = rv + Gamma(Gamma::Algebra::GammaX) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Xp "<< mag<<std::endl;
// Xm
spProjXm(hsm,rv);
spReconXm(recon,hsm);
full = rv - Gamma(Gamma::Algebra::GammaX) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Xm "<< mag<<std::endl;
// Yp
spProjYp(hsm,rv);
spReconYp(recon,hsm);
full = rv + Gamma(Gamma::Algebra::GammaY) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Yp "<< mag<<std::endl;
// Ym
spProjYm(hsm,rv);
spReconYm(recon,hsm);
full = rv - Gamma(Gamma::Algebra::GammaY) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Ym "<< mag<<std::endl;
// Zp
spProjZp(hsm,rv);
spReconZp(recon,hsm);
full = rv + Gamma(Gamma::Algebra::GammaZ) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Zp "<< mag<<std::endl;
// Zm
spProjZm(hsm,rv);
spReconZm(recon,hsm);
full = rv - Gamma(Gamma::Algebra::GammaZ) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Zm "<< mag<<std::endl;
// Tp
spProjTp(hsm,rv);
spReconTp(recon,hsm);
full = rv + Gamma(Gamma::Algebra::GammaT) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Tp "<< mag<<std::endl;
// Tm
spProjTm(hsm,rv);
spReconTm(recon,hsm);
full = rv - Gamma(Gamma::Algebra::GammaT) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "Tm "<< mag<<std::endl;
// 5p
spProj5p(hsm,rv);
spRecon5p(recon,hsm);
full = rv + Gamma(Gamma::Algebra::Gamma5) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "5p "<< mag<<std::endl;
// 5m
spProj5m(hsm,rv);
spRecon5m(recon,hsm);
full = rv - Gamma(Gamma::Algebra::Gamma5) *rv;
mag = TensorRemove(norm2(full-recon));
std::cout << "5m "<< mag<<std::endl;
Grid_finalize(); Grid_finalize();
return EXIT_SUCCESS;
} }